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Direct linkVamvakoussi, Xenia; Christou, Konstantinos P.; Mertens, Lieve; Van Dooren, Wim – Learning and Instruction, 2011
It is widely documented that the density property of rational numbers is challenging for students. The framework theory approach to conceptual change places this observation in the more general frame of problems faced by learners in the transition from natural to rational numbers. As students enrich, but do not restructure, their natural number…
Descriptors: Foreign Countries, Mathematics Instruction, Comparative Education, Intervals
Vamvakoussi, Xenia; Vosniadou, Stella – Learning and Instruction, 2004
In the present article, we argue that the conceptual change approach to learning can apply in the case of mathematics, taking into consideration the particular nature of mathematical knowledge and the neurobiological bases of mathematical cognition. In the empirical study that is reported in this article, we investigated ninth graders'…
Descriptors: Cognitive Structures, Numbers, Grade 9, Algebra
